Several concrete examples in quantum information are discussed to demonstrate the importance of proper modeling that relates the mathematical description to real-world applications. In particular, it is shown that some commonly accepted conclusions are not adequately supported by their purported justifications in the logical manner required.
Several concrete examples in quantum information are discussed to demonstrate the importance of proper modeling that relates the mathematical description to real-world applications. In particular, it is shown that some commonly accepted conclusions are not adequately supported by their purported justifications in the logical manner required.
Considered by Einstein as “the fundamental dice-game”, the quantum-mechanical description of quantum objects in the real world is controversial. According to Einstein’s understanding of the physical world, the quantum-mechanical description is incomplete, but rendering quantum mechanics complete might be possible. Derived by resorting to a hidden-variable theory, Bell inequalities attempted to render quantum mechanics complete somehow. Unfortunately, the attempts all failed. More unfortunately, the failure and the widely accepted but erroneous interpretation of the failure resulted in giving up either or both of locality and realism, the two fundamental hypotheses for scientific research, and hence opened the door to so-called quantum information technologies. Consequently, quantum information technologies all stem from “the fundamental dice-game”. Based on an important mathematical fact irrelevant to any issue about measurement instruments or accuracies of measurement outcomes, namely, precise space and time coordinates are practically unattainable by measurements, which reflects a general principle regarding the nature of measurements (henceforth principle of measurements), this paper reports the following findings: (a) Einstein’s understanding of the physical world is correct. (b) Without resorting to any hidden-variable theory, rendering quantum mechanics complete is possible while keeping the mathematical setting for quantum mechanics (i.e., Hilbert space) essentially unchanged; therefore, eligible applications of quantum mechanics, which are all irrelevant to “the fundamental dice-game”, will also remain unchanged. (c) As fictitious results in “the fundamental dice-game” based on the problematic postulate of quantum superposition in current quantum theory, quantum information technologies are all physically unrealizable. A very regrettable conclusion then follows inevitably from the above findings: An extremely huge amount of time, effort, funding, and investment in realizing physically unrealizable quantum information technologies has been wasted because of “the fundamental dice-game”, which has seriously damaged science!
The world of physical systems at the most fundamental levels is replete with efficient, interesting models possessing sufficient ability to represent the reality to a considerable extent. So far, quantum mechanics (QM) forming the basis of almost all natural phenomena, has found beyond doubt its intrinsic ingenuity, capacity and robustness to stand the rigorous tests of validity from and through appropriate calculations and experiments. No serious failures of quantum mechanical predictions have been reported, yet. However, Albert Einstein, the greatest theoretical physicist of the twentieth century and some other eminent men of science have stated firmly and categorically that QM, though successful by and large, is incomplete. There are classical and quantum reality models including those based on consciousness. Relativistic quantum theoretical approaches to clearly understand the ultimate nature of matter as well as radiation have still much to accomplish in order to qualify for a final theory of everything (TOE). Mathematical models of better, suitable character as also strength are needed to achieve satisfactory explanation of natural processes and phenomena. We, in this paper, discuss some of these matters with certain apt illustrations as well.
The article discusses the problem of a correct description of reality in science and philosophy, taking into account the acceptance of the many-world hypothesis. Many-worlds are understood as modern physical hypotheses that allow the existence of other universes (many-world interpretation, chaotic inflation, string landscape, and others). It is shown that these models are likely to challenge the traditional intellectual intuition on which classical science is built: they require new methodological approaches, and perhaps a new epistemology in general. Some requirements of classical logic, based on principles such as the laws of non-contradiction or the excluded middle, may turn out to be incorrect and even counterintuitive under many-world hypotheses. It is suggested that some logical systems (paraconsistent logic, quantum logic) may in the future become an ontological and epistemological foundation for the concepts of many-world physical reality. It is concluded that the considered multi-world models in conjunction with the indicated logics are more intuitively acceptable, since they allow getting rid of not only a number of cosmological problems (for example, fine tuning), but also problems of a logical and mathematical nature arising from the considered traditional requirements for formal systems.
An impressively comprehensive textbook adopting a phenomenological approach to quantum physics. The chapters cover everything from basic definitions of key concepts to detailed discussions of the underlying theoretical framework, walking students step-by-step through the necessary mathematics and drawing clear connections between the theory and the most important modern research applications including quantum optics, fluids, nanophysics, entanglement, information, and relativity. With this book, students and researchers will have access to hundreds of real-world examples, exercises, and illustrations to support and expand their understanding. Instructors can tailor the content to suit the length and level of their course and will have access to an online solutions manual with fully worked solutions to all 300+ exercises in the book. Other online resources include Python simulations, additional exercises, and detailed appendices.